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Finding the Fourth Proportional to 657,352, 907,147.38 and 355,546

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Solution

The fourth proportional to 657,352, 907,147.38 and 355,546 is: 490,654.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,352 : 907,147.38 = 355,546 : x
  2. Step 2: Convert to fraction form
    657,352/907,147.38 = 355,546/x
  3. Step 3: Cross multiply
    657,352x = 907,147.38 × 355,546
  4. Step 4: Simplify right side
    657,352x = 322,532,622,369.48
  5. Step 5: Solve for x
    x = 322,532,622,369.48/657,352
  6. Step 6: Final answer
    x = 490,654.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.